Solve 120=sqrt{244}x

$$120 = \sqrt { 244 } x$$

Solve for x

$$x = \frac{60 \sqrt{61}}{61} \approx 7.682212796$$

Steps for Solving Linear Equation

Factor 244=2^{2}\times 61. Rewrite the square root of the product \sqrt{2^{2}\times 61} as the product of square roots \sqrt{2^{2}}\sqrt{61}. Take the square root of 2^{2}.

$$120=2\sqrt{61}x$$

Swap sides so that all variable terms are on the left hand side.

$$2\sqrt{61}x=120$$

Divide both sides by 2\sqrt{61}.

$$\frac{2\sqrt{61}x}{2\sqrt{61}}=\frac{120}{2\sqrt{61}}$$

Dividing by 2\sqrt{61} undoes the multiplication by 2\sqrt{61}.

$$x=\frac{120}{2\sqrt{61}}$$

Divide 120 by 2\sqrt{61}.

$$x=\frac{60\sqrt{61}}{61}$$